LCM of 459, 309, 828, 714, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 309, 828, 714, 352 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 459, 309, 828, 714, 352. So, keep reading to learn more.
Given numbers are 459,309,828,714,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,309,828,714,352 is 2679282144.
Find LCM of 459,309,828,714,352 with Prime Factorization
| 2 | 459, 309, 828, 714, 352 |
| 2 | 459, 309, 414, 357, 176 |
| 3 | 459, 309, 207, 357, 88 |
| 3 | 153, 103, 69, 119, 88 |
| 17 | 51, 103, 23, 119, 88 |
| 3, 103, 23, 7, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 3 x 103 x 23 x 7 x 88 = 2679282144
Therefore, the lowest common multiple of 459,309,828,714,352 is 2679282144.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
459 x 309 x 828 x 714 x 352 = 29514972098304
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
459 : 1, 3, 9, 17, 27, 51, 153, 459
309 : 1, 3, 103, 309
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,309,828,714,352, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
309:3x 103
828:2x 2x 3x 3x 23
714:2x 3x 7x 17
352:2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 17 = 11016
Therefore, the value for common factors is 11016.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 29514972098304/(1x11016)
LCM = 29514972098304/11016
LCM = 2679282144
Thus, we can understand that the LCM of 459,309,828,714,352 is 2679282144.
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FAQs on LCM of 459, 309, 828, 714, 352
1. What is the LCM of 459, 309, 828, 714, 352?
Answer: LCM of 459, 309, 828, 714, 352 is 2679282144.
2. How to calculate the LCM of 459, 309, 828, 714, 352?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 459, 309, 828, 714, 352.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.